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Springer Geometry of Lagrange Spaces: Theory and Applications - Springer

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Description

This comprehensive Springer publication explores the mathematical foundations and practical applications of Lagrange geometry through differential-geometric methods. The book provides an extensive discussion of vector bundle geometry and presents a detailed exposition of Lagrange geometry, where Lagrangians are defined as smooth real functions on the total space of tangent bundles to manifolds. By examining variational problems and their formal geometric structures, this work demonstrates how differential-geometric approaches illuminate fundamental natural phenomena across physics and engineering. Ideal for researchers and advanced students in mathematical physics, theoretical mechanics, and applied mathematics, the text connects abstract geometric concepts with concrete physical applications, making it an essential reference for understanding modern approaches to fundamental physics problems.

Key Features

Comprehensive coverage of vector bundle geometry and total space structures relevant to advanced mathematical physics research.

Detailed exposition of Lagrange geometry with rigorous treatment of Lagrangian formulations on tangent bundles.

Exploration of variational problems and their geometric foundations in differential-geometric frameworks.

Part of the Fundamental Theories of Physics series (volume 59), positioning it within established theoretical physics literature.

Addresses applications of differential-geometric methods to understanding natural phenomena across multiple scientific disciplines.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 November 1993
Listed Since
15 December 2006

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